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JEE Main 202227 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
27 July
Shift
Morning Shift
Subject
Chemistry
Chapter
Ionic Equilibrium

JEE Main 2022 · 27 July · Morning Shift · Chemistry · Ionic Equilibrium

At 310K , the solubility of CaF _ 2 in water is 2 . 34 × 10 ^ - 3 g...

At 310K310K, the solubility of CaF2{CaF}_{2} in water is 2.34×10−3g/100mL2 . 34 \times {10}^{- 3}g / 100mL. The solubility product of CaF2{CaF}_{2} is ---- ×10−8(mol/L)3\times {10}^{- 8}{\left(mol / L\right)}^{3}(nearest integer). (Given molar mass : CaF2=78gmol−1{CaF}_{2} = 78g{mol}^{- 1})

Correct answer

0

Step-by-step solution

The solubility product constant is the equilibrium constant for the dissolution of a solid substance into an aqueous solution. It is denoted by the symbol Ksp{K}_{sp}.

Solubility of CaF2=Smole//L{CaF}_{2} = Smole / / L

S=2.34×10−30.1×78=2.3478×10−2=3×10−4mol/LS = \dfrac{2 . 34 \times {10}^{- 3}}{0 . 1 \times 78} = \dfrac{2 . 34}{78} \times {10}^{- 2} = 3 \times {10}^{- 4}mol / L

Ksp(CaF2)=4S3=4(3×10−4)3{K}_{sp}\left({CaF}_{2}\right) = 4{S}^{3} = 4{\left(3 \times {10}^{- 4}\right)}^{3}

=108×10−12= 108 \times {10}^{- 12}

=0.0108×10−8(mol/L)3= 0 . 0108 \times {10}^{- 8}{\left(mol / L\right)}^{3}

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